How many moles of gas are contained in a compressed air tank for scuba diving that has a volume of 3.5 L and a pressure of 230. atm at 22. C? Be sure your

answer has the correct number of significant figures.
Note: Reference the Fundamental constants table for additional information.

mol

1 answer

Using the ideal gas law equation: PV = nRT

Where:
P = pressure (230 atm)
V = volume (3.5 L)
n = number of moles
R = ideal gas constant (0.0821 L.atm/mol.K)
T = temperature in Kelvin (22°C + 273 = 295 K)

Plugging in the values:

(230 atm)(3.5 L) = n(0.0821 L.atm/mol.K)(295 K)
805 = n(24.2395)
n ≈ 33.2 mol

Therefore, there are approximately 33.2 moles of gas contained in the compressed air tank.